Question

in a perfectly symmetrical distribution the mode and the mean are 42 and 49 respectively approximate median and distribution is _a) 47. b)48. c)49. d)50

Answer 1

In a perfectly symmetrical distribution, the mean and the median are the same.

A perfectly symmetrical distribution is a distribution of a data set in a manner such that if a vertical line is drawn at some point in the histogram the shape to the left and the right of the vertical line are mirror images of each other .

It is given that he mode of the data set is 42 and the value of the mean of the data set is 49.  

Since the mean and median of a perfectly symmetrical distribution is the same, therefore, the approximate median of this distribution is 49.

So, Option C is the correct answer.